I learned what was called the modified weaver, what was just described above as the chapman stance. When I got out of being a LEO in '97 they were just starting to teach us to use the iso since that gives better coverage with a vest.

Personally I prefer the chapman because it is a more stable shooting platform and it gives you (or at least me) the ability to "shoot and scoot" and retain balance.

To ban guns because criminals use them is to tell the law-abiding that their rights and liberties depend not on their own conduct, but on the conduct of the guilty and the lawless.
Lysander Spooner (1808 1887)

Sometimes in life you have to stand your ground. It's a hard lesson to learn and even most adults don't get it, but in the end only I can be responsible for my life. If faced with any type of adversity, only I can overcome it. Waiting for someone else to take responsibility is a long fruitless wait.

in LE training we were taught and aggressive iso stance and a new grip (took me a couple of days to get used to it during firearms training), but once I got used to it I could see it was more stable than the weaver I had been using, had more control of the weapon and I shot a lot better
we also use iso due to the fact that most of our body armor is toward the subject, and don't have the shoulder/armpits exposed for rounds to enter and cross the vital zone
here is what our instructors were trained on and what we were taught:YouTube - Blackwater Pistol Training Course

I like a few others noted prior use when two handed shooting is appropriate and situation available the 'Modern Isosceles' method of handgun shooting, which is not a "stance" at all.

It is though a mode of handling a handgun toward application be [the individual] static or on the move forward, reverse, or lateral.
Similar to the images shown above by Matiki which is Modern Isosceles and he termed "Aggressive Isosceles", only grossly exaggerated by the person as depicted, I have several more normal and common imagery at different angles of view toward the same method of handgun handling be the person standing or on the move...

And as described in detail as contrast against the Weaver and Chapman methods below;

The Ever So Modern Isosceles - Brief Article
American Handgunner , Jan, 2000 by Dave Anderson
"...the modern isosceles takes the hands and arms out of the equation. The arms and hands don't pull or push, they simply hold the gun. Because the arm muscles are not rigidly locked the trigger finger can operate with greater speed and precision."http://findarticles.com/p/articles/m...24/ai_57886945

The MODERN ISOCELES
American Handgunner , Nov, 2000 by Ron Avery
"The Weaver stance is -- don't be shocked -- obsolete. none of the top competitive shooters use it and police departments no longer train with Cooper's outmoded technique..."http://findarticles.com/p/articles/m...24/ai_65910635

I have to keep really low due to flatter than flat feet. I bounce as I walk if my knees aren't deeply bent and shooting on the move is near impossible, hence my "aggressive isosceles", which is really just another way of saying knees deeply bent and leaning forward into the target.

Additionally Matiki that pic being yourself (I didn't realize this prior) shows _additional benefit_ for a person in your individual physical condition situation toward getting 'small' whilst using the Modern Isosceles method.
It's generally tough to hit a target at all muchless a small (not tall nor wide) target, even if it might be static. Especially if said smaller than tall and static target is firing/returning fire at you with purpose and accuracy (!).

Exceptions of course are children and school shooters in specific who have an uncanny and remarkable knack for pulling off head shots even out to 10 yard distances (!). Able to do multiples of times in shot to shot succession against static and even moving victims all the while using most any caliber handgun with little to no prior training. :|

Anyway I wanted to not just report but show and educate as well so that others in this thread posting or reading might see or learn something new to them outside their own individual amount of training degree.

I voted Weaver, but I shoot more of a Modified form or more that of the "Tactical" stance mentioned earlier. I lower my stance quite a bit more than the normal Weaver. Almost like a boxer type stance bladed off but with a handgun. It's more comfortable for me, allows me to move easier, and makes my shooting more accurate.